On dynamics of chaotic evolution in food chain model
Abstract
In this paper, A discrete-time food chain model of three species has been introduced comprising of a set of three nonlinear difference equations. Evolutionary dynamics of this system have investigated and regular as well as chaotic attractors have been obtained for certain parameter values. Bifurcation diagrams have been drawn by varying parameters along coordinate axes and the motion has been analyzed. Numerical calculations have been carried out for calculations of Lyapunov exponents, topological entropies and correlation dimension. The investigation is then further extended to obtain FLI, SALI and DLI for regular and chaotic evolution of the food chain model.
Copyright © 2013 L. M. Saha, Neha Kumra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
L. M. Saha, N. Kumra, On dynamics of chaotic evolution in food chain model, J. Math. Comput. Sci. 3 (2013), 823–840.
BibTeX
@article{Saha2013,
author = {Saha, L. M. and Kumra, Neha},
title = {On dynamics of chaotic evolution in food chain model},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {823--840},
doi = {}
}